SEIBERG–WITTEN INVARIANTS OF 4-MANIFOLDS WITH FREE CIRCLE ACTIONS

@article{Baldridge1999SEIBERGWITTENIO,
  title={SEIBERG–WITTEN INVARIANTS OF 4-MANIFOLDS WITH FREE CIRCLE ACTIONS},
  author={S. Baldridge},
  journal={Communications in Contemporary Mathematics},
  year={1999},
  volume={03},
  pages={341-353}
}
  • S. Baldridge
  • Published 1999
  • Mathematics
  • Communications in Contemporary Mathematics
The main results of this paper describes a formula for the Seiberg–Witten invariant of a 4-manifold which admits a nontrivial free circle action. We use this theorem to produce a nonsymplectic 4-manifold with a free circle action whose orbit space fibers over circle. We also describe a nontrivial 3-manifold which is not the orbit space of any symplectic 4-manifold with a free circle action. A corollary of the main theorem is a formula for the 3-dimensional Seiberg–Witten invariants of the total… Expand

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